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542410245220 = 2252321392711361
BaseRepresentation
bin1111110010010100010…
…10111000010001100100
31220212001111120101121111
413321022022320101210
532341324010321340
61053102501554404
754121301004214
oct7711212702144
91825044511544
10542410245220
1119a042496438
1289158115a04
133c1c266532c
141c37795a244
15e199016aea
hex7e4a2b8464

542410245220 has 144 divisors (see below), whose sum is σ = 1204615560960. Its totient is φ = 205126732800.

The previous prime is 542410245191. The next prime is 542410245227. The reversal of 542410245220 is 22542014245.

It is not an unprimeable number, because it can be changed into a prime (542410245227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398537340 + ... + 398538700.

It is an arithmetic number, because the mean of its divisors is an integer number (8365385840).

Almost surely, 2542410245220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542410245220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602307780480).

542410245220 is an abundant number, since it is smaller than the sum of its proper divisors (662205315740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542410245220 is a wasteful number, since it uses less digits than its factorization.

542410245220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 542410245220 its reverse (22542014245), we get a palindrome (564952259465).

The spelling of 542410245220 in words is "five hundred forty-two billion, four hundred ten million, two hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 271 278 460 529 542 556 695 1058 1084 1355 1361 1390 2116 2645 2710 2722 2780 3197 5290 5420 5444 6233 6394 6805 10580 12466 12788 13610 15985 24932 27220 31165 31303 31970 37669 62330 62606 63940 73531 75338 124660 125212 143359 147062 150676 156515 188345 189179 286718 294124 313030 367655 368831 376690 378358 573436 626060 716795 719969 735310 737662 753380 756716 866387 945895 1433590 1439938 1470620 1475324 1732774 1844155 1891790 2867180 2879876 3465548 3599845 3688310 3783580 4331935 4351117 7199690 7376620 8483113 8663870 8702234 14399380 16966226 17327740 17404468 19926901 21755585 33932452 39853802 42415565 43511170 51267509 79707604 84831130 87022340 99634505 100075691 102535018 169662260 195111599 199269010 200151382 205070036 256337545 390223198 398538020 400302764 500378455 512675090 780446396 975557995 1000756910 1025350180 1179152707 1951115990 2001513820 2358305414 3902231980 4716610828 5895763535 11791527070 23583054140 27120512261 54241024522 108482049044 135602561305 271205122610 542410245220